For a reduced knot diagram with two adjacent starred regions, a Kauffman state chooses one corner at every crossing so that every unstarred region contains exactly one chosen corner. Terms in a determinant expansion of a Dehn-presentation Alexander matrix correspond bijectively to these states.

Ancestors (11)

  1. Alexander matrix
  2. Alexander polynomial
  3. Seifert matrix
  4. Seifert form
  5. Seifert surface
  6. Knot
  7. Knot theory
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
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